Question

Question 20 (Fill-In-The-Blank Worth 4 points) (05.02) A system of equations is shown below: 6x − 5y = 5 3x + 5y = 4 The x-coordinate of the solution to this system of equations is _____. Numerical Answers Expected! Answer for Blank 1:

Answer 1

x = 1

Explanation:

The system of equations is

`\left \{ {{6x-5y=5} \atop {3x+5y=4}} \right.`

We will solve this using elimination. We will eliminate the y variables in this system, since the coefficients are opposites. We will add the two equations:

`\left \{ {{6x-5y=5} \atop {+(3x+5y=4)}} \right. \\\\9x=9`

Divide both sides by 9:

9x/9 = 9/9

x = 1